C2 Quadratics Flashcards
Why we CTS?
Solve quadratics
Sketching graphs
Prove a function is positive or negative
Integration
Turning point in CTS equation
(-a,b)
What do u have to be careful with when dividing an equation?
U can always divide by a number, but never by x because that’s when you then loss solutions
How do u find the roots of an equation?
Can u factorise easily
If not, can u complete the square (putting f(x)=0)
Use of discriminant to identify what type of roots u have.
What’s the discriminant
b squared -4ac
What will the discriminant be if it has no real roots
Less than 0
What will the discriminant be if it has one reapted root
Equal 0
What will the discriminant be if it has 2 distinct real roots
Greater than 0